Paper Info
Title
Generalized Delaunay Graphs with respect to any Convex Set are Plane Graphs
Abstract
We consider two types of geometric graphs on point sets on the plane based on a plane set C: one obtained by translates of C, another by positively scaled translates (homothets) of C. For compact and convex C, graphs defined by scaled translates of C, i.e., Delaunay graphs based on C, are known to be plane graphs. We show that as long as C is convex, both types of graphs are plane graphs.
Year
Venue
Keywords
2010
Clinical Orthopaedics and Related Research
plane graph,discrete mathematics,convex set,computational geometry,geometric graph
DocType
Volume
Citations 
Journal
abs/1012.4
1
PageRank 
References 
Authors
0.36
0
1
Name
Order
Citations
PageRank
Deniz Sarioz1345.24